List of trigonometry topics

This is a list of trigonometry topics, by Wikipedia page.

(Some topics appear in more than one section below.)

Geometric foundations of trigonometry

• Altern base
• Angle
  • Plane angle
  • Solid angle
  • Spherical angle
  • Right angle
• Angle excess
• Angular distance
• Angular unit
  • Degree (angle)
  • Gon (angle) (aka Grad, Gradian)
  • Radian
  • Turn (angle)
• Chord (geometry)
• Circle (also see List of circle topics)
  • Unit circle
• Hypotenuse
• Opposites post
• π (pi)
• Ptolemy's theorem
• Pythagorean theorem
• Thales' theorem
• Trigonometric function
• Triangle (also see List of triangle topics)

Trigonometric functions

• Sine, Cosine, Tangent (trigonometric function), Cotangent, Secant (trigonometric function), Cosecant – see Trigonometric function
• atan2
• cis—see Euler's formula
• Cofunction
• Exsecant
• Gudermannian function
• Inverse trigonometric functions
• Jyā, koti-jyā and utkrama-jyā
• Versine

Trigonometric identities

Main article: Trigonometric identity

Main article: List of trigonometric identities

• De Moivre's formula
• Euler's formula
• Hermite's cotangent identity
• Lagrange's trigonometric identities
• Morrie's law
• Proofs of trigonometric identities
• Pythagorean trigonometric identity
• Tangent half-angle formula

Solution of triangles

Main article: Solution of triangles

• Law of sines
• Law of cosines
• Law of tangents
• Law of cotangents
• Mollweide's formula

More advanced trigonometric concepts and methods

• Chebyshev polynomials
• Conway triangle notation
• Exact trigonometric constants
• Generalized trigonometry
• Gudermannian function
• Lissajous curve
• Polar sine
• Rational trigonometry
• Spread polynomials

Numerical mathematics

• Abbe error
• Hypot
• Prosthaphaeresis
• Trigonometric interpolation
• Kunstweg, an algorithm for computing sines, introduced in the late 1500s

Trigonometric tables

Main article: Trigonometric tables

• Generating trigonometric tables
• Āryabhaṭa's sine table
• Bhaskara I's sine approximation formula
• Madhava's sine table
• Ptolemy's table of chords, written in the second century A.D.
• Rule of marteloio
• Canon Sinuum, listing sines at increments of two arcseconds, published in the late 1500s

Use in geometry

• Brocard points
• Regiomontanus' angle maximization problem
• Trigonometry of a tetrahedron

Spherical trigonometry

Main article: Spherical trigonometry

• Half-side formula
• Haversine formula

Elementary calculus

• List of integrals of trigonometric functions
• List of integrals of inverse trigonometric functions
• Regiomontanus' angle maximization problem
• Trigonometric substitution
• Tangent half-angle substitution

Other areas of mathematics

• For examples of trigonometric functions as generating functions in combinatorics, see Alternating permutation.
• Dirichlet kernel
• Euler's formula
• Exact trigonometric constants
• Exponential sum
• Trigonometric integral
• Trigonometric number
• Trigonometric polynomial
• Trigonometric series
• Trigonometry in Galois fields

Trigonometry in science and engineering

Main article: Uses of trigonometry

Physics

• Abbe sine condition
• Greninger chart
• Phasor
• Snell's law

Astronomy

• Equant
• Parallax
• Dialing scales

Chemistry

• Greninger chart

Geography, geodesy, and land surveying

• Hansen's problem
• Snellius–Pothenot problem
• Great-circle distance – how to find that distance if one knows the latitude and longitude.
• Resection (orientation)
• Vincenty's formulae
• Geographic distance
• Triangulation in three dimensions

Navigation

• Haversine formula
• Rule of marteloio

Engineering

• Belt problem
• Phase response
• Phasor
• Rake (angle)

Analog devices

• Dialing scales
• Gunter's quadrant
• Gunter's scale
• Protractor
• Scale of chords

History

Main article: History of trigonometry

• Aristarchus' inequality
• Āryabhaṭa's sine table
• Bhaskara I's sine approximation formula
• Jyā, koti-jyā and utkrama-jyā
• Madhava's sine table
• Ptolemy's table of chords
• Rule of marteloio

People

• Aristarchus
• Ptolemy
• Bhaskara I
• Madhava of Sangamagrama
• Pythagoras
• Regiomontanus

Mnemonics

Main article: mnemonics in trigonometry

• All Students Take Calculus

See also

• List of exponential topics
• Hyperbolic function

External links

• Dave's short trig course
• An introduction to trigonometry
• Trigonometry FAQ
• Trigonometric Delights, by Eli Maor, Princeton University Press, 1998. Ebook version, in PDF format, full text presented.
• Trigonometry by Alfred Monroe Kenyon and Louis Ingold, The Macmillan Company, 1914. In images, full text presented.
• Trigonometry on PlainMath.net Trigonometry Articles from PlainMath.Net
• Trigonometry on Mathwords.com index of trigonometry entries on Mathwords.com
• Benjamin Banneker's Trigonometry Puzzle at Convergence